AbstractSingle-plateaued preferences generalize single-peaked preferences by allowing for multiple best elements. These preferences have played an important role in areas such as voting, strategy-proofness and matching problems. We examine the notion of singleplateauedness in a choice-theoretic setting. Single-plateaued choice is characterized by means of a collinear interval continuity property in the presence of independence of irrelevant alternatives. Further results establish that our notion of single-plateauedness conforms to the motivation underlying the term and we analyze the consequences of alternative continuity properties. The importance of basic assumptions such as closedness and convexity is discussed.
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Bibliographic InfoPaper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 05-2012.
Length: 18 pages
Date of creation: 2012
Date of revision:
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Single-plateauedness; choice correspondences; independence of irrelevant alternatives; continuity;
Other versions of this item:
- Bossert Walter & Peters Hans, 2012. "Single-plateaued choice," Research Memoranda 026, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- BOSSERT, Walter & PETERS, Hans, 2012. "Single-plateaued choice," Cahiers de recherche 2012-04, Universite de Montreal, Departement de sciences economiques.
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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